Vortex waistlines and long range fluctuations

Tamás G. Kovács, E. T. Tomboulis

Research output: Contribution to journalArticle

12 Citations (Scopus)


We examine the manner in which a linear potential results from fluctuations due to vortices linked with the Wilson loop. Our discussion is based on exact relations and inequalities between the Wilson loop and the vortex and electric flux order parameters. We show that, contrary to the customary naive picture, only vortex fluctuations of a thickness of the order of the spatial linear size of the loop are capable of producing a strictly linear potential. An effective theory of these long range fluctuations emerges naturally in the form of a strongly coupled Z(N) lattice gauge theory. We also point out that dynamical fermions introduced in this medium undergo chiral symmetry breaking.

Original languageEnglish
Article number074501
Pages (from-to)745011-745018
Number of pages8
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number7B
Publication statusPublished - Apr 1 2002

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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